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Finding the Fourth Proportional to 76,411.92, 114,612.45 and 20,250.78

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Solution

The fourth proportional to 76,411.92, 114,612.45 and 20,250.78 is: 30,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.92 : 114,612.45 = 20,250.78 : x
  2. Step 2: Convert to fraction form
    76,411.92/114,612.45 = 20,250.78/x
  3. Step 3: Cross multiply
    76,411.92x = 114,612.45 × 20,250.78
  4. Step 4: Simplify right side
    76,411.92x = 2,320,991,510.21
  5. Step 5: Solve for x
    x = 2,320,991,510.21/76,411.92
  6. Step 6: Final answer
    x = 30,374.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.